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3 years ago

What is the length of Lm?

Mathematics

1 answer:

Oxana [17]3 years ago

7 0

Answer: Choice A) $\sqrt{34}$

Work Shown:

Use the distance formula

Points are (x1,y1) = (-4,3) and (x2,y2) = (-7,-2)

d = distance between the two points

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-(-7))^2 + (3-(-2))^2}\\\\d = \sqrt{(-4+7)^2 + (3+2)^2}\\\\d = \sqrt{(3)^2 + (5)^2}\\\\d = \sqrt{9 + 25}\\\\d = \sqrt{34}\\\\$

Extra info: $\sqrt{34} \approx 5.83$

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3 years ago

Which expression does not factor? m3 + 1 m3 – 1 m2 + 1 m2 – 1

Luda [366]

Answer:

$m^2 +1$

Explanation:

All the other expressions can be factorized. Let's see why:

1) $m^3 +1$

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$a^3+b^3=(a+b)(a^2-ab+b^2)$

In this case, a=m and b=1, so we can factorize as

$m^3+1=(m+1)(m^2-m+1)$

2) $m^3-1$

This is the difference between two cubes, and this can be factorized as follows:

$a^3-b^3=(a-b)(a^2+ab+b^2)$

In this case, a=m and b=1, so we can factorize as

$m^3-1=(m-1)(m^2+m+1)$

3) $m^2-1$

This is the difference between two square numbers, and it can be factorized as follows

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4 0

3 years ago

Read 2 more answers

PLS HELP, WILL REWARD BRAINLIEST !!

sergiy2304 [10]

Omg hello, how are you i hope ur day is going well

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3 years ago

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